Weighted boundedness for Toeplitz type operator related to singular integral transform with variable Calderón-Zygmund kernel

In the paper, some weighted maximal inequalities for the Toeplitz operator related to the singular integral transform with variable CalderȮn-Zygmund kernel are proved. As an application, the boundedness of the operator on weighted Lebesgue space are obtained.

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 1; pp. 688 - 697
Main Author Chen, Dazhao
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
singular integral transform
toeplitz operator
variable calderón-zygmund kernel
weighted bmo function
weighted lipschitz function
Online AccessGet full text
ISSN2473-6988
2473-6988
DOI10.3934/math.2021041

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Summary:In the paper, some weighted maximal inequalities for the Toeplitz operator related to the singular integral transform with variable CalderȮn-Zygmund kernel are proved. As an application, the boundedness of the operator on weighted Lebesgue space are obtained.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021041